Question

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check all that apply. The length of side AD is 8 units. The length of side A'D' is 4 units. The image is larger than the pre-image. Sides CD and C'D' both have the same slope, 2. The scale factor is .
A,B,D are the answers on edg

Answer 1

Answer:

The answer for edgednuity is

The length of side AD is 8 units.

The length of side A'D' is 4 units.

The scale factor is 1/2

Step-by-step explanation:

Answer 2

Answer:  The answer is

(a) The length of side AD is 8 units.

(b) The length of side A'D' is 4 units.

(d) The scale factor is $\dfrac{1}{2}$.

Step-by-step explanation:  Given that Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

We are to select the correct statements from the given options.

We can note from the figure that

the length of side AD is (4 + 4) = 8 units,

and the length of side A'D' is (2 + 2) = 4 units.

So, options (a) and (b) are correct.

The co-ordinates of C, D, C' and D' are (2,4), (4, 0), (1, 2) and (2,0) respectively.

The slope of CD is given by

$m_1=\dfrac{4-0}{2-4}=-2,$

and the slope of A'D' is

$m_2=\dfrac{2-0}{1-2}=-2.$

Therefore, the slopes of CD and C'D' are equal, but not equal to 2, its - 2.

So, option (c) is incorrect.

Now, the scale factor of dilation is

$S_d=\dfrac{4}{8}=\dfrac{1}{2}.$

Thus, (a), (b) and (d) are correct.